OCR as level maths EDEXCEL
updated questions with solved
answers.
∈ - CORRECT ANSWER✅✅belongs to the set
Adding and multiplying vectors - CORRECT ANSWER✅✅Add i's and j's
When multiplying by a scalar, if negative direction reverses
Area of triangle - CORRECT ANSWER✅✅1/2 bcSinA
Binomial expansion - CORRECT ANSWER✅✅(a + b)ⁿ = (ⁿCᵣ)(aⁿ⁻¹bʳ)
(a + b)ⁿ = aⁿ + (ⁿC₁)(aⁿ⁻¹b) + (ⁿC₂)(aⁿ⁻²b²) + ... + (ⁿCᵣ)(aⁿ⁻ʳbʳ) + ... + bⁿ
1st term starts with power of n and decreases to 0
2nd term starts with power of 0 and increases to n
Circle properties - CORRECT ANSWER✅✅Line from centre is perpendicular to a
chord, bisects the chord
Any tangent to a circle is perpendicular to the radius
Completing the square - CORRECT ANSWER✅✅To find turning points
a(x+b)² + c = 0
Turning point will be (-b,c)
Component form - CORRECT ANSWER✅✅Gives you coordinates, uses I and j
Connected particles - CORRECT ANSWER✅✅Tensions must be equal
Acceleration double arrow
Converting forms vectors - CORRECT ANSWER✅✅If you have I and j values, use r=
square root of x²+y² and theta= tan^-1(y/x)
If you have r and theta use x=rcostheta and y=rsintheta
If I<0 add 180
Coordinates of midpoint - CORRECT ANSWER✅✅(x1+x2/2, y1+y2/2)
Cosine rule (know 2 sides and angle in between and wants third side) OR (know 3 sides
want angle) - CORRECT ANSWER✅✅A^2 = b^2 + c^2 - 2bccosA
Counter example - CORRECT ANSWER✅✅proves a statement false
, Definite integrals - CORRECT ANSWER✅✅Area under curve
Top limit - bottom limit
Positive is above x axis
If mixture - find each area separately and add areas (ignore - sign)
Differentiating from first principles - CORRECT ANSWER✅✅1) Find f(x+h).
everywhere you have x fill in x + h.
2) - f(x) from the end. litterally append the function to the end of your new function.
3) tidy up the resultant equation
4) divide by h
Differentiating k - CORRECT ANSWER✅✅y=kx^n
dy/dx=knx^n-1
Differentiation notation - CORRECT ANSWER✅✅dy/dx
y'
f'(x)
Discriminant - CORRECT ANSWER✅✅b²-4ac > 0 two real roots
b²-4ac = 0 one real root
b²-4ac < 0 no real roots
Displacement time graphs - CORRECT ANSWER✅✅Straight line, stopping
Goes below x axis when changing direction
Gradient = velocity
Distance between two points vectors - CORRECT ANSWER✅✅AB= square root of (i2
- i1)² + (j2 - j1)²
Dividing Polynomials - CORRECT ANSWER✅✅Inspection, Long division, equating
coefficients (rearranging so one side fits other side)
Equation of a circle - CORRECT ANSWER✅✅(x-a)²+(y-b)²=r²
Centre (a,b)
Radius r
Equation of a straight line - CORRECT ANSWER✅✅y=mx+c
Equation of a straight line given gradient and a point - CORRECT ANSWER✅✅y-
y=m(x-x)
Equation of a straight line if gradient is fraction - CORRECT ANSWER✅✅ax+by+c=0
updated questions with solved
answers.
∈ - CORRECT ANSWER✅✅belongs to the set
Adding and multiplying vectors - CORRECT ANSWER✅✅Add i's and j's
When multiplying by a scalar, if negative direction reverses
Area of triangle - CORRECT ANSWER✅✅1/2 bcSinA
Binomial expansion - CORRECT ANSWER✅✅(a + b)ⁿ = (ⁿCᵣ)(aⁿ⁻¹bʳ)
(a + b)ⁿ = aⁿ + (ⁿC₁)(aⁿ⁻¹b) + (ⁿC₂)(aⁿ⁻²b²) + ... + (ⁿCᵣ)(aⁿ⁻ʳbʳ) + ... + bⁿ
1st term starts with power of n and decreases to 0
2nd term starts with power of 0 and increases to n
Circle properties - CORRECT ANSWER✅✅Line from centre is perpendicular to a
chord, bisects the chord
Any tangent to a circle is perpendicular to the radius
Completing the square - CORRECT ANSWER✅✅To find turning points
a(x+b)² + c = 0
Turning point will be (-b,c)
Component form - CORRECT ANSWER✅✅Gives you coordinates, uses I and j
Connected particles - CORRECT ANSWER✅✅Tensions must be equal
Acceleration double arrow
Converting forms vectors - CORRECT ANSWER✅✅If you have I and j values, use r=
square root of x²+y² and theta= tan^-1(y/x)
If you have r and theta use x=rcostheta and y=rsintheta
If I<0 add 180
Coordinates of midpoint - CORRECT ANSWER✅✅(x1+x2/2, y1+y2/2)
Cosine rule (know 2 sides and angle in between and wants third side) OR (know 3 sides
want angle) - CORRECT ANSWER✅✅A^2 = b^2 + c^2 - 2bccosA
Counter example - CORRECT ANSWER✅✅proves a statement false
, Definite integrals - CORRECT ANSWER✅✅Area under curve
Top limit - bottom limit
Positive is above x axis
If mixture - find each area separately and add areas (ignore - sign)
Differentiating from first principles - CORRECT ANSWER✅✅1) Find f(x+h).
everywhere you have x fill in x + h.
2) - f(x) from the end. litterally append the function to the end of your new function.
3) tidy up the resultant equation
4) divide by h
Differentiating k - CORRECT ANSWER✅✅y=kx^n
dy/dx=knx^n-1
Differentiation notation - CORRECT ANSWER✅✅dy/dx
y'
f'(x)
Discriminant - CORRECT ANSWER✅✅b²-4ac > 0 two real roots
b²-4ac = 0 one real root
b²-4ac < 0 no real roots
Displacement time graphs - CORRECT ANSWER✅✅Straight line, stopping
Goes below x axis when changing direction
Gradient = velocity
Distance between two points vectors - CORRECT ANSWER✅✅AB= square root of (i2
- i1)² + (j2 - j1)²
Dividing Polynomials - CORRECT ANSWER✅✅Inspection, Long division, equating
coefficients (rearranging so one side fits other side)
Equation of a circle - CORRECT ANSWER✅✅(x-a)²+(y-b)²=r²
Centre (a,b)
Radius r
Equation of a straight line - CORRECT ANSWER✅✅y=mx+c
Equation of a straight line given gradient and a point - CORRECT ANSWER✅✅y-
y=m(x-x)
Equation of a straight line if gradient is fraction - CORRECT ANSWER✅✅ax+by+c=0
